A metal plate (k = 180 w/(m*k), p = 2800 kg/m^3, cp = 880 J/(kg*k)) with a thickness of 1 cm is being cooled by air at 5 degrees C with a convection heat transfer coefficient of 30 w/(m*k). If the initial temperature of the plate is 300 degrees C, determine the plate temperature after 2 minutes of cooling.